Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 3, Pages 29–33 (Mi vmumm30)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order ordinary differential equations

O. B. Arushanyan, S. F. Zaletkin

Lomonosov Moscow State University, Research Computing Center
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Abstract: A solvability theorem for a nonlinear system of equations with respect to approximate values of Fourier–Chebyshev coefficients is proved. This theorem is a theoretical substantiation for the numerical solution of second order ordinary differential equations using Chebyshev series and Markov quadrature formulas.
Key words: ordinary differential equations, approximate analytical methods, numerical methods, orthogonal expansions, shifted Chebyshev series, Markov quadrature formulas.
Received: 19.12.2017
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 3, Pages 111–115
DOI: https://doi.org/10.3103/S0027132218030051
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: O. B. Arushanyan, S. F. Zaletkin, “Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 3, 29–33; Moscow University Mathematics Bulletin, 73:3 (2018), 111–115
Citation in format AMSBIB
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